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Finding the Fourth Proportional to 366,965.40, 506,459.10 and 216,076.44

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Solution

The fourth proportional to 366,965.40, 506,459.10 and 216,076.44 is: 298,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965.40 : 506,459.10 = 216,076.44 : x
  2. Step 2: Convert to fraction form
    366,965.40/506,459.10 = 216,076.44/x
  3. Step 3: Cross multiply
    366,965.40x = 506,459.10 × 216,076.44
  4. Step 4: Simplify right side
    366,965.40x = 109,433,879,333.60
  5. Step 5: Solve for x
    x = 109,433,879,333.60/366,965.40
  6. Step 6: Final answer
    x = 298,213.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.